You manage a portfolio that consists of 70 percent in S & P 500 index stocks and 30 percent in a Crude Oil ETF. Over the past 10 years the S & P 500 has had an average monthly return of 1.2 percent and a monthly return volatility of 2.2percent. Over the same period, crude oil has seen an average monthly return of 1.8 percent and a monthly volatility of 2.4 percent. The correlation between the S & P 500 index and the Crude Oil ETF's returns have been 0.2.
What's the monthly expected return and volatility of your portfolio?
If the S & P 500 index is a good proxy for the market index, then what's the beta and risk premium of your portfolio? (T-bill's monthly yield is 0.5%)